Answer: Choice C
Closed filled in circle at -3; shading to the right.
========================================================
Explanation:
Follow the steps shown below to isolate x. Note that the inequality sign flips when we divide both sides by a negative number.
Here's another way to isolate x
The inequality sign flip happens much earlier when we go from the format of 
to 
(in step 3)
The graph of this will have a closed filled in circle at -3, then shading to the right to describe all values -3 or larger.
This is why we go for choice C.
Answer:
If you construct the perpendicular bisector of a line segment, every point on the perpendicular bisector will be the same distance from both point A and point B.
To construct an isosceles triangle, you can start from any point on the perpendicular bisector and draw line segments to point A and to point B
Answer:
wait writing on a piece of paper
Answer: About 513 feet
A more accurate value is roughly 512.575960394824
==============================================================
Explanation:
With many trig problems, a diagram should help steer you in the right direction. See below.
The red angle is the angle of depression. It's formed by starting off looking straight horizontal, then we look down 26 degrees. The blue angle adds to the red angle to get 90, so we can see that 26+64 = 90. Or you could say 90-26 = 64.
The goal is to find the value of x, which is the length from B (the lighthouse base) to point C (the ship's location).
The lighthouse is 250 ft tall, meaning AB = 250
We'll use angle BAC, or angle A for short, as the reference angle. This is the blue angle in the diagram.
We have a known adjacent side (AB = 250) and an unknown opposite side (BC = x). We use a tangent ratio to tie these sides together with the reference angle in question. This way we can solve for x.
-------------------
tan(angle) = opposite/adjacent
tan(A) = BC/AB
tan(64) = x/250
250*tan(64) = x
x = 250*tan(64)
x = 512.575960394824
x = 513
The distance from B to C is roughly 513 feet.
I'm rounding to the nearest whole number because the other values given to you are whole numbers.
Answer:
f(g(0)) = 45
Step-by-step explanation:
to evaluate f(g(0)) , evaluate g(0) then substitute the value obtained into f(x)
g(0) = - 3(0) - 3 = 0 - 3 = - 3 , then
f(- 3) = 2(- 3)² - 5(- 3) + 12
= 2(9) + 15 + 12
= 18 + 27
= 45
